一种基于解析方法的滑翔再入轨迹快速规划方法

A Rapid Glide Entry Trajectory Planning Method Based on Analytical Method

采用数值方法对再入飞行器进行在线轨迹规划时,计算量大,针对此问题,研究了一种基于解析方法的滑翔式再入轨迹规划方法,该方法能够快速规划出高精度的滑翔再入轨迹。基于飞行器再入运动特性,对飞行器滑翔再入的阶段进行了划分,并给出了阶段划分依据;基于运动方程,推导了一类含轨迹参数的滑翔式再入轨迹的高精度解析解;根据推导的再入运动解析解,将再入相关约束转化为轨迹参数约束;引入参数校正方法,根据轨迹参数与待飞航程间一一对应的关系,在轨迹参数约束范围内规划出能满足任务需求的再入轨迹。仿真结果表明,分阶段推导的解析解的精度要高于罗赫二阶解,与数值解相近;基于解析方法的滑翔再入轨迹规划方法避免了数值方法的大量积分运算,并能快速规划出满足任务要求且精度与数值方法相当的滑翔再入轨迹。

To solve the problem of enormous computation in on-board reentry-trajectory planning by numerical method,a planning method for glide reentry trajectory was presented based on analytical theory.By this method,the high-precision glide reentry trajectories can be planned rapidly.The whole reentry trajectory was divided into two phases based on motion characteristic of reentry vehicle,and the division reasons were given.High-precision analytical solutions of motion equations of glide reentry trajectory were deduced.The typical inequality reentry path-constraints were transformed into functions of trajectory parameter according to analytical theory.The correction method of parameter was introduced.Based on the one-to-one correspondence between trajectory parameter and bank angle,the proper reentry trajectory which satisfies the mission requircoment can be found in the range of trajectory parameter.The simulation results show that the analytical theory is more precise than the Loh’s second-order analytical theory,and closed to the numerical results.The analytical method of planning glide reentry trajectory avoids enormous integral operation in numerical method,and is able to rapidly plan the glide reentry trajectory with high precision like numerical method,which meets the mission requirements.